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Finding the Fourth Proportional to 843.82, 1,263.60 and 600.21

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Solution

The fourth proportional to 843.82, 1,263.60 and 600.21 is: 898.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.82 : 1,263.60 = 600.21 : x
  2. Step 2: Convert to fraction form
    843.82/1,263.60 = 600.21/x
  3. Step 3: Cross multiply
    843.82x = 1,263.60 × 600.21
  4. Step 4: Simplify right side
    843.82x = 758,425.36
  5. Step 5: Solve for x
    x = 758,425.36/843.82
  6. Step 6: Final answer
    x = 898.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.